Nonresident got 2 W2s from Ohio. One lists everything but Locality = NRes- Cincity. Other lists nothing but local wages, local income tax, Locality - Res-Cincity Why?

The 2nd W2 Listing Res-Cincity (under Locality) has no state wages, state income tax, but has different local wages and local income tax.  Why do I have 2 w2's where box 20 (locality) says Res and Nres?  I'm a resident of Illinois. SHould I just ignore the Res W2?